MOSTMATHHome

Chapter 9 · Questions · page 42 of 68

What is PEMDAS, and does multiplication come before division?

Short answerPEMDAS is the order of operations: parentheses, exponents, then multiplication and division, then addition and subtraction. Multiplication and division are equal, so you do them left to right, and the same goes for addition and subtraction.

levelPre-algebra
standard6.EE.A.1
practiceOrder of operations

The letters suggest six separate steps, but there are four. M and D share a step, and A and S share a step. Inside each shared step you work left to right, which is why 12 ÷ 3 × 2 is 8 and not 2.

How to use it

  1. Parentheses first, innermost out.
  2. Exponents next.
  3. Multiplication and division, left to right.
  4. Addition and subtraction, left to right.

Example

12÷3×2=4×2=812 \div 3 \times 2 = 4 \times 2 = 8
8−3+2=5+2=78 - 3 + 2 = 5 + 2 = 7
2+3×4=2+12=142 + 3 \times 4 = 2 + 12 = 14

Where it goes wrong

  • Doing every multiplication before any division because M comes first in the word.
  • Adding before subtracting for the same reason: 8 - 3 + 2 is 7, not 3.

Related